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A circle is given by x^2 + (y-1) ^2 = 1,...

A circle is given by `x^2 + (y-1) ^2 = 1`, another circle C touches it externally and also the x-axis, then the locus of center is:

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CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. If the circles x^2+y^2+2x+2ky+6=0 and x^2+y^2+2ky+k=0 intersect ortho...

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  2. An acute triangle PQR is inscribed in the circle x^2+y^2= 25. If Q and...

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  3. A circle is given by x^2 + (y-1) ^2 = 1, another circle C touches it e...

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  4. If one of the diameters of the circle x^2+y^2-2x-6y+ 6 = 0 is a chord ...

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  5. The centre of circle inscribed in a square formed by lines x^2-8x+12...

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  6. If the tangent at the point on the circle x^2+y^2+6x +6y=2 meets the ...

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  7. Consider square A B C D of side length 1. Let P be the set of all segm...

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  8. The number of intergral value of y for which the chord of the circle x...

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  9. Statement 1 : The circle having equation x^2+y^2-2x+6y+5=0 intersects ...

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  10. Statement 1 : The center of the circle having x+y=3 and x-y=1 as its n...

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  11. Statement 1 : The equations of the straight lines joining the origi...

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  12. Statement 1 : Points A(1,0),B(2,3),C(5,3),a n dD(6,0) are concyclic. S...

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  13. Statement I The chord of contact of tangent from three points A, B and...

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  14. Statement 1 : The equation x^2+y^2-2x-2a y-8=0 represents, for differe...

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  15. The circles having radii r1 and r2 intersect orthogonally. Find the le...

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  16. Tangents P A and P B are drawn to x^2+y^2=9 from any arbitrary poin...

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  17. The two circles which pass through (0,a)a n d(0,-a) and touch the line...

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  18. If the pair of straight lines x ysqrt(3)-x^2=0 is tangent to the circl...

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  19. The locus of the midpoint of a chord of the circle x^2+y^2=4 which sub...

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  20. The condition that the chord xcosalpha+ysinalpha-p=0 of x^2+y^2-a^2=0 ...

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